Elementary Mathematics

Course Code: 
MATH 133
Course Period: 
Autumn
Course Type: 
Core
P: 
3
Application: 
0
Credits: 
3
ECTS: 
5
Course Language: 
İngilizce
Course Content: 

Linear and quadratic equations with applications. Linear inequalities. Absolute value. Elementary functions, their compositions and graphs in Cartesian coordinates. Linear and quadratic functions. Systems of linear equations. Matrices and operations with matrices. Determinant and Inverse of a matrix. Solutions of systems of linear equations.

Course Methodology: 
1: Lecture
Course Evaluation Methods: 
A: Written examination

Vertical Tabs

Course Learning Outcomes

Learning Outcomes

Teaching Methods

Assessment Methods

1) Repeats the notion of real numbers and some of its properties, remembers simple algebraic techniques of: factoring, linear equation systems and linear inequalities.

1

A

2) Learns the notion of function, learns: graphs of functions, composition of functions, the notion of inverse function and absolute value.

1

A

3) Learns symetry, reflection and rotations in cartesian coordinates. Observes systems of linear equations and graphs and applications of quadratic equations in cartesian coordinates.

1

A

4) Learns matrix operations and the notian of inverse matrix.

1

A

5) Can solve systems of linear equations through matrices.

1

A

Course Flow

Week

   Topics

Study Materials

1

Chapter 0: Review of Algebra

Sets of Real Numbers, Some properties of Real Numbers, Exponents and Radicals,

0.1, 0.2, 0.3

 

2

   Operations with  Algebraic Expressions , Factoring, Fractions,

0.4, 0.5, 0.6

3

 Equations of Linear Equations, Quadratic Equations

0.7, 0.8

4

Chapter 1: Applications and More Algebra

   Applications of Equations, Linear Inequalities,

1.1, 1.2

5

   Applications of Inequalities, Absolute Value

1.3, 1.4

6

Chapter 2: Functions and Graphs

Functions, Special Functions, Combinations of Functions, Inverse Functions

2.1, 2.2, 2.3, 2.4

7

Graphs in Rectangular Coordinates, Symmetry, Translation and  Reflections

2.5, 2.6, 2.7

8

Review

 

9

Chapter 3: Lines, Parabolas and Systems

   Lines, Applications and Linear Functions,

3.1, 3.2

10

Quadratic Functions,  Systems of Linear Functions

3.3, 3.4

11

 Chapter 6: Matrix Algebra

 Matrices, Matrix Addition and Scalar Multiplication

6.1, 6.2

12

 Matrix Multiplication, Solving System by Reducing Matrices

6.3, 6.4

13

 Solving System by Reducing Matrices(cont.), Inverses of Matrices

6.5, 6.6

14

 Review

 

Recommended Sources

Textbook    

Introductory Mathematical

Analysis, 13th Edition by Ernest Haeussler, Richard S. Paul, Richard Wood, Pearson Prentice Hall

Additional Resources

 

Material Sharing

Documents

 

Assignments

 

Exams

 

Assessment

IN-TERM STUDIES

NUMBER

PERCENTAGE

Mid-terms

1

100

Quizzes

 

 

Assignments

 

 

Total

 

100

CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE

 

60

CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE

 

40

Total

 

100

 

COURSE CATEGORY

 

Course’s Contribution to Program

No

Program Learning Outcomes

Contribution

1

2

3

4

5

 

1

The ability to make computation on the basic topics of mathematics such as limit, derivative, integral, logic, linear algebra and discrete mathematics which provide a basis for the fundamenral research fields in mathematics (i.e., analysis, algebra, differential equations and geometry)

 

 

 

 

 

 

2

Acquiring fundamental knowledge on fundamental research fields in mathematics

 

 

 

 

 

 

3

Ability form and interpret the relations between research topics in mathematics

 

 

 

 

 

 

4

Ability to define, formulate and solve mathmatical problems

 

 

 

 

 

 

5

Consciousness of professional ethics and responsibilty

 

 

 

 

 

 

6

Ability to communicate actively

 

 

 

 

 

 

7

Ability of self-development in fields of interest

 

 

 

 

 

 

8

Ability to learn, choose and use necessary information technologies

 

 

 

 

 

 

9

Lifelong education

 

 

 

 

 

 

ECTS

Activities

Quantity

Duration
(Hour)

Total
Workload
(Hour)

Course Duration (14x Total course hours)

14

3

42

Hours for off-the-classroom study (Pre-study, practice)

14

4

56

Mid-terms (Including self study)

1

12

12

Final examination (Including self study)

1

15

15

Total Work Load

 

 

125

Total Work Load / 25 (h)

 

 

5

ECTS Credit of the Course

 

 

5